Pith Number

pith:EDFDPZ4U

pith:2018:EDFDPZ4U2VHSMT5INZ5XEJ5ZM4

not attested not anchored not stored refs pending

DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing

Arnulf Jentzen, Christoph Schwab, Dennis Elbr\"achter, Philipp Grohs

arxiv:1809.07669 v3 · 2018-09-20 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDFDPZ4U2VHSMT5INZ5XEJ5ZM4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Space-time error estimates for deep neural network approximations for differential equations

Receipt and verification

First computed	2026-07-05T03:21:03.511823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ca37e794d54f264fa86e7b7227b967187c8552637e1b436711aebe78c766cd

Aliases

arxiv: 1809.07669 · arxiv_version: 1809.07669v3 · doi: 10.48550/arxiv.1809.07669 · pith_short_12: EDFDPZ4U2VHS · pith_short_16: EDFDPZ4U2VHSMT5I · pith_short_8: EDFDPZ4U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EDFDPZ4U2VHSMT5INZ5XEJ5ZM4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 20ca37e794d54f264fa86e7b7227b967187c8552637e1b436711aebe78c766cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a4ccbcb4c62c05afaeb3e71695803acc6f0428c5300f2fe5c3e84f26fd92b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-20T15:17:27Z",
    "title_canon_sha256": "a05fdb40441f78c33912a5934631ed180a38704eb5f8a2738261e1c635891d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07669",
    "kind": "arxiv",
    "version": 3
  }
}